331228540800 has 144 divisors (see below), whose sum is σ = 1181899442880. Its totient is φ = 88327603200.

The previous prime is 331228540793. The next prime is 331228540801. The reversal of 331228540800 is 8045822133.

331228540800 is a `hidden beast` number, since 3 + 3 + 12 + 28 + 540 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331228540801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5721696 + ... + 5779295.

It is an arithmetic number, because the mean of its divisors is an integer number (8207635020).

Almost surely, 2^331228540800 is an apocalyptic number.

331228540800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331228540800 is an abundant number, since it is smaller than the sum of its proper divisors (850670902080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331228540800 is a wasteful number, since it uses less digits than its factorization.

331228540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11501021 (or 11501001 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 331228540800 in words is "three hundred thirty-one billion, two hundred twenty-eight million, five hundred forty thousand, eight hundred".